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I can't understand the question so please help me.....

[tex]for \: x \: such \: that \: 0 < x < \frac{\pi}{2}[/tex]
It is the expression
[tex] \frac{ \sqrt{1 - {cos}^{2}x } }{sin \: x} \:- \frac{ \sqrt{1 - {sin}^{2}x } }{cos \: x} \\ \\ is \: equivalent \: to:[/tex]
[tex]f.0 \\ g.1 \\ h.2 \\j. - tan \: x \\ k. \: sin \: 2x[/tex]
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Don't answer if you don't know
Thank You!

Answers

Answer 1

If 0 < x < π/2, then both sin(x) and cos(x) are positive.

From the Pythagorean identity, we then have

cos²(x) + sin²(x) = 1

⇒   cos(x) = + √(1 - sin²(x))   and   sin(x) = + √(1 - cos²(x))

Then

√(1 - cos²(x))/sin(x) = sin(x)/sin(x) = 1

and

√(1 - sin²(x))/cos(x) = cos(x)/cos(x) = 1

so that the overall expression reduces to

1 - 1 = 0


Related Questions

Hanna has 88cm of ribbon and cuts it in the ratio 5 : 6. How much longer is the longest piece and the shortest piece?​

Answers

Answer:

8 cm

Step-by-step explanation:

sum the parts of the ratio, 5 + 6 = 11 parts

Divide the length of ribbon by 11 to find the value of one part of the ratio

88 cm ÷ 11 = 8 cm ← value of 1 part of the ratio , then

5 parts = 5 × 8 cm = 40 cm

6 parts = 6 × 8 cm = 48 cm

Then difference between lengths is 48 cm - 40 cm = 8 cm

longer piece is 8 cm longer than shortest piece.

Which expressions are equivalent when m = 1 and m = 4? 5 m minus 3 and 2 m 5 m 3 m 4 and m 4 2 m 2 m 7 and 3 m minus 3 m 5 m 3 and 4 m 2 2 m.

Answers

Answer:

Step-by-step explanation:

The expressions that are equivalent when m = 1 and m = 4 is;

Option B: 3m + 4 and m + 4 + 2m

We are given m = 1 and m =4;

A) 5m - 3 and 2m + 5 + m

B) 3m + 4 and m + 4 + 2m

C) 2m + 7 and 3m - 3 + m

D) 5m + 3 and 4m + 2 + 2m

For option B; 3m + 4 and m + 4 + 2m

Let's put m = 1

3(1) + 4 = 7

Also, 1 + 4 + 2(1) = 7

Similarly, let us put 4 for m to get;

3(4) + 4 = 16

Also, 4 + 4 + 2(4) = 16

In both cases, the expressions are equivalent and as such option B is the right one.

Read more about algebra simplifications at; https://brainly.com/question/4344214

A car travels 220 miles in 3 hours 20 minutes. What is its average speed?

Answers

I believe the answer is 68.75…

Answer:

66 miles per hour

Step-by-step explanation:

average speed = distance / time

distance : 220 miles

time : 3 hours 20 minutes or 3.33 hours

220 miles / 3.33 hours = 66 miles per hour

What is the Square root of -18

Answers

Answer:

3i square root 2

Step-by-step explanation:

PLZ HELLLP 50 POINTS, WILL GIVE BRAINLY PLZZZZZZZZZZ

Modified organisms may contaminate the natural, wild populations.

Which genetic technique is the statement describing an ethical issue of?


stem cell research

gene therapy

transgenic organisms

cloning

Answers

Answer:

Transgenic Organism

My reasoning:

A transgenic organism is an organism which has been modified with genetic material from another species. The biggest use of transgenic organisms is for agriculture growth, the development of genetically modified crops.

They also research with transgenic mice. Mice can be modified with human DNA for the purpose of testing medical treatments and seeing how they might behave in a human.

Researchers are concerned though that interbreeding between transgenic and wild organisms could have unforeseen consequences and could reign havoc on our ecosystem.

~That's All Folks~

-Siascon

transgenic organisms is the answer

What is 7/6 as a decimal

I need it I the next 5 mins please!

I’ll give brainliest

Answers

Hey there!

7/6

= 7 ÷ 6

= 1.166667

Therefore, your answer is: 1.166667 which is approximately 1.67 or 1.7

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Which expression is equivalent to 24 1/3?

Answers

Answer:

2∛3

Explanation:

∛24=(∛8)(∛3)=2∛3

Hopes This Helps :)

share 120 between 8 boys​

Answers

Answer:

15

Explanation:

120 divided by 8 is 15

Answer:

120 ÷ 8 = 15

Simple math. :D

Step-by-step explanation:

Pls give brainliest.

What is the solution for x if

Answers

Answer: the answer is B which is x < -1

Step-by-step explanation: trust me bro and happy holidays :)

Answer:

[tex]\huge\boxed{B)\ x<-1}[/tex]

Step-by-step explanation:

Solve this inequality the same way you would solve an equation: by isolating x.

Simply subtract 6 from both sides to get -4x > 4.   Then merely divide both sides by -4 to get x < -1.  (Notice that when dividing by a negative number, you must flip the sign of the inequality.)

Hope it helps :)

What is the area of this figure?

please help me ASAP!

Answers

Area = 35



Area = area of square + area of triangle

Area of square = length x width
Area of square = 5 x 5
Area of square = 25

Area of triangle = base x height x 0.5
Area of triangle = 5 x 4 x 0.5
Area of triangle = 10

Area of figure = triangle area + square area

Area of figure = 10 + 25

Area = 35

Answer:

35cm squared

Step-by-step explanation:

5*5=25 for the square

10cm for the triangle (multiply base by height)

add it for 35

help I have foreign parents.....they will literally disown me if I fail - ♥️​

Answers

Answer:m∠1 = 51°Step-by-step explanation:

We know that:

Total degrees of triangle: 180°

Using this clue, we can find m∠1.

=> 67 + 62 + m∠1 = 180=> 129 + m∠1 = 180=> m∠1 = 180 - 129=> m∠1 = 51°Conclusion:

We have finally found the answer to the missing angle. The answer is 51°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

whats the remainder of 45 divied by 8

Answers

Answer:

5

Step-by-step explanation:

8*5=40

45-40=5

r would be 5

5 R 5

hope this helps

Which equation represents the line that has a slope of 1/2 and
contains the point (0, 3)?
A y = 1/3x + 1/2
B y = 3x + 1/2
C y = 3/2x
D y = 1/2x + 3

Answers

Answer:

Solution given:

slope(m)=½

passing through point (x',y')=(0,3)

now

equation of a line is:

y-y'=m(x-x')

y-3=½(x-0)

y=½x+3

D.y=½x+3 is a required equation of a line.

Helpppppppppppppppppppppppppp

Answers

Answer:

The first one.

What is the percent of decrease from 100 to 38?

Answers

Answer: 62

Step-by-step explanation:

100 - x = 38

x =62

HELP ASAP THIS IS TIMED ​

Answers

C 3/4÷12

You Welcome :)

Answer: C

A nurse gave an 8 year old child a dose of 6 mL of medicine. What would be the adult equivalent of this dosage

Answers

Ok read first heheheh where

What is the solution for -10 < x - 9?

x > -19
x < -1
x < -19
x > -1

Answers

Answer:

x > -1

Step-by-step explanation:

-10 < x - 9 add 9 to both sides of the inequation

9 + (-10) < x - 9 + 9 minus 9 will eliminate the positive 9 on the right side of the inequation therefore the answer is:

-1 < x  and x > -1


I NEED HELP ASAP. PLEASE AND THANK YOU


Answers

Answer:

1, 2, and 5

Step-by-step explanation:

NEED HELP ASAP…..plz help

Answers

I’m pretty sure the answer is D. I’m sorry if I’m wrong

The answer is B) y = 4x

Explanation: If you substitute each number in the x column for the variable x, and then multiple that number by 4, you'll get the number in the y column to the right.

For example:

y = 4x --> y = 4 (2) --> y = 8

I hope this helped. :)

23.2 x 0.14 can somebody help quick

Answers

Answer:

2.78

Step-by-step explanation:

you could have used a calculator

Answer:

23.2 times 0.14 is 3.248

1. The last time Lola played
basketball, she made 84% of the free
throws she shot. Based on this
information, how many free throws
will Lola make if she shoots 50 free
throws this season?

A: 42
B: 34
C: 26
D: 17

Answers

Answer:

A) 42 is the correct answer, I just did .84 times 50 and that equals 42.

Step-by-step explanation:

Using the digits 1 to 9, without repeating any numbers, place a digit in each box that will create 3 equivalent ratios.

Answers

6:3 = 14:7 = 58:29

hope this is helpful!

What is another word for change in y

Answers

When finding the slope of real-world situations, it is often referred to as rate of change. change in y Rate of change = change in x change in height change in time The average rate of change or a rider between 0 and 5 seconds is —24 ft/s. magnitude relation. Another synonym is "velocity".

Hope this helps

If each quadrilateral below is a square, find the missing measures

solve for X​

Answers

Answer:

i think x = 18.5

Step-by-step explanation:

6x-21 = 90°

6x = 90+21

6x = 111

x = 111/6

x = 18.5

There is 46% hard working Elfs in the North Pole. there is 300 elfs in north pole. How many elfs are hard working

Answers

Answer:

138 hard working elfs

Step-by-step explanation:

the 46% of 300 is 138

Answer:

There is 138 Hard working Elves at the North Pole.

Step-by-step explanation:

300× 0.46= 138

Need help on this one thanks

Answers

Answer:

Y = 10/7X + 4

Y intercept = 4

Slope = 10/7

X intercept = -40/7

Step-by-step explanation:

Incase you are asked the equation of the line

The slope intercept equation is as follows -

(1)....Y = mx + b

where m - Slope

b - Y - intercept

the standard formula of slope which is commonly referred to as "the rate of change" is -

(2) .....m= Y2 - Y1 / X2 - X1

in this case you can refer to the final and initial X and Y values directly from the small points on the line.

and so(3)..... - X1 = -6 X2 = 6

- Y2 = 9 Y1 = -1

the y intercept is defined as the value we get whenever X id zero. and X has a value of zero when a line crosses the y axis.

thus, X = 0 & Y = 4 ( 0 , 4 )

now lets substitute our values(3) into the slope formula (equation 2)

m = 9 - - 1 / 6 - - 1 = 10/7

now that we found the line's slope, let's simply plug the y intercept

into the slope intercept formula (1)

Y = 10/7X + 4

What is the best estimate for this sum?

1/8+1/6


Options here:

The sum will be close to 1/4

The sum will be close to 1/2

The sum will be close to 1


*Disclaimer* show work

Answers

It's 7/24 so about 0.292
therefore it will be close to 1/4

or you calculate 1/8 = 0.125 and 1/6 = 0.1666 adds up close to 1/4

formula of amount when interest and principal is given

Answers

Answer:

We can rearrange the interest formula, I = PRT to calculate the principal amount. The new, rearranged formula would be P = I / (RT), which is principal amount equals interest divided by interest rate times the amount of time.

Step-by-step explanation:

Hope this helps you sorry if it does not help you

Which of the following lists of ordered pairs is a function?

Answers

Answer:

Option D.

Step-by-step explanation:

A  function is a relation in which one input (x-value) is assigned to exactly one output (y-value).

Since option D's x-values do not repeat, then it is a function.

Hope this helps.

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